KMS Of Academy of mathematics and systems sciences, CAS
Convergence rate of the asymmetric Deffuant-Weisbuch dynamics | |
Zhang Jiangbo1; Chen Ge2 | |
2015-08-01 | |
发表期刊 | JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY |
ISSN | 1009-6124 |
卷号 | 28期号:4页码:773-787 |
摘要 | This paper considers the convergence rate of an asymmetric Deffuant-Weisbuch model.The model is composed by finite n interacting agents. In this model, agent i's opinion is updated ateach time, by first selecting one randomly from n agents, and then combining the selected agent j's opinion if the distance between j's opinion and i's opinion is not larger than the confidence radius E >(0). This yields the endogenously changing inter-agent topologies. Based on the previous result that all agents opinions will converge almost surely for any initial states, the authors prove that the expected potential function of the convergence rate is upper bounded by a negative exponential function of time t when opinions reach consensus finally and is upper bounded by a negative power function of time t when opinions converge to several different limits. |
关键词 | Convergence rate Deffuant-Weisbuch model multi-agent systems opinion dynamics |
DOI | 10.1007/s11424-015-3240-z |
语种 | 英语 |
资助项目 | Young Scholars Development Fund of Southwest Petroleum University (SWPU)[201499010050] ; Scientific Research Starting Project of SWPU[2014QHZ032] ; National Natural Science Foundation of China[61203141] ; National Key Basic Research Program of China (973 Program)[2014CB845301/2/3] |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Interdisciplinary Applications |
WOS记录号 | WOS:000356820600002 |
出版者 | SPRINGER HEIDELBERG |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/20140 |
专题 | 系统科学研究所 |
通讯作者 | Zhang Jiangbo |
作者单位 | 1.Southwest Petr Univ, Fac Sci, Chengdu 610500, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Zhang Jiangbo,Chen Ge. Convergence rate of the asymmetric Deffuant-Weisbuch dynamics[J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,2015,28(4):773-787. |
APA | Zhang Jiangbo,&Chen Ge.(2015).Convergence rate of the asymmetric Deffuant-Weisbuch dynamics.JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY,28(4),773-787. |
MLA | Zhang Jiangbo,et al."Convergence rate of the asymmetric Deffuant-Weisbuch dynamics".JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY 28.4(2015):773-787. |
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